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Prospects for KL→π0νν, KS→μ+μ-, KL→π0+- and ε/ε after the new K+→π+νν result from NA62

2026/07/21 by Monika Blanke, Andrzej J. Buras, Cristina Lazzeroni +1
#hep-ph #hep-ex #hep-lat

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Abstract

The recently announced NA62 measurement of the K+→π+νν branching ratio, based on 2016--2024 data, is fully consistent with its very accurate Standard Model (SM) prediction. While it is not excluded that the final result based on 2016--2026 data will deviate from the SM prediction, the question arises whether a similar fate awaits the KL→π0νν decay. This decay is currently being searched for by the KOTO experiment, with the present upper bound roughly two orders of magnitude above its very precise SM prediction. The proposed KOTO II experiment aims to provide the first discovery of the KL→π0νν decay and measure its branching ratio. Building on the findings of several previous papers we demonstrate that in the presence of suitably chosen large new complex phases and of a small amount of new right-handed s d couplings, in addition to the left-handed ones, the KL→π0νν branching ratio can still be enhanced by one order of magnitude with respect to the SM prediction while keeping both K+→π+νν and εK SM-like. Simultaneously the decays KS→μ+μ-, studied by LHCb, and KL→π0+-, searched for by KOTO II, can be strongly enhanced and the anomaly in the ratio ε/ε, as claimed by Dual QCD, removed. We illustrate this with an example of a specific Z^′ scenario.

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